[9] In the summer of 2016, he played abroad in the Canadian Soccer League with the Serbian White Eagles.
[10][11] Švonja assisted the club in securing a playoff berth where the Serbs defeated Toronto Atomic in the opening round.
[12] The Serbs qualified for the championship final match by defeating FC Ukraine United in the semifinal.
[13] He appeared in the championship match where Toronto won the title by defeating Hamilton City.
[22][23] In 2024, he was named the team captain and helped the club reach the Novi Sad Football Cup finals.